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Mechanics of Materials

Mechanics of Materials. Engineering 233. Statics and Dynamics. Worked with: External Loads Resultant motion. Mechanics of Materials. Work with: Internal forces Internal moments Deformations of bodies. Statics. External Loads Surface Forces Body Force. Statics. Support Reactions

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Mechanics of Materials

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  1. Mechanics of Materials Engineering 233

  2. Statics and Dynamics • Worked with: • External Loads • Resultant motion

  3. Mechanics of Materials • Work with: • Internal forces • Internal moments • Deformations of bodies

  4. Statics • External Loads • Surface Forces • Body Force

  5. Statics • Support Reactions • If the support prevents translation in a given direction, then a force must be developed on the member in that direction • If rotation is prevented, a couple moment must be exerted on the member

  6. Statics • For Equilibrium: • Balance of Forces • Balance of Moments • Equations of Equilibrium

  7. Mechanics of Materials • Internal Resultant Loadings • Normal Force, N • Shear Force, V • Torsional Moment (Torque), T • Bending Moment, M

  8. Procedure for Analysis • Support Reactions (apply statics) of the body • Free-Body Diagram of the section being investigated • Apply Equations of Equilibrium for the section

  9. Stress • Assumptions • Material continuous, uniform • Cohesive, connected together, no defects

  10. Stress • Normal Stress – intensity of force – force per unit area acting normal to area.

  11. Stress • Shear Stress- intensity of force acting tangent to area

  12. General State of Stress • Three components acting on each face of the element • Describe the state of stress at that point for the element oriented along the xyz axes

  13. Units • SI • Newton per square meter, pascal • Use kilo, k, mega, M, and Giga, G as required • US Customary System (FPS) • Pounds per square inch, psi • Kilopounds per sq in, ksi • (Kilopound, kip – 1000 lb)

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